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实验转子系统的动力学行为

Dynamics behavior of experimental rotor system

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【作者】 王正浩袁惠群张宇

【Author】 WANG Zheng-hao1,YUAN Hui-qun1,ZHANG Yu2(1.College of Mechanical Engineering and Automation,Northeastern University,Shenyang 110004,China;2.Liaoning Provincial Communication Special School,Shenyang 110122,China)

【机构】 东北大学机械工程与自动化学院辽宁省交通高等专科学校

【摘要】 为分析实验转子系统碰摩的分叉与混沌动力学行为,找到系统通往混沌的道路,应用数值分析方法对其进行研究。以转速为分叉参数,结合Poincare截面图、波形图、相平面图、轴心轨迹图和自相关函数图分析系统运动状态,同时分析质量比对实验转子系统响应的影响。分析结果表明,质量比对动力学特性有较大影响,系统通向混沌的道路主要是阵发性分叉和周期倍分叉。实验转子系统碰摩实验与数值模拟结果一致。

【Abstract】 For the sake of analyzing the behaviors of bifurcation and chaotic kinetics of the rubbing collision of experimental rotor system and of finding out the path that leads the system to chaos,the method of numerical value analysis has been applied to carrying out on its researches.Taking the rotary speed as the bifurcation parameter and combining with the Poincare sectional graph,oscillogram,phase plan,axis track graph and self-correlated function graph to analyze the kinematic status of the system,and at the same time the influence of mass ratio on the response of experimental rotor system was analyzed.The result of analysis showed that the mass ratio has rather big influence on the kinetics property,and the path that leads the system to chaos was mainly the intermittent bifurcation and periodical doubling bifurcation.The result of rubbing collision test of experimental rotor system was identical with that of the numerical simulation.

【基金】 国家自然科学基金重点资助项目(50535010)
  • 【文献出处】 机械设计 ,Journal of Machine Design , 编辑部邮箱 ,2009年01期
  • 【分类号】TH113
  • 【被引频次】2
  • 【下载频次】181
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